2g+4(g-8)=4(2g-15)

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Solution for 2g+4(g-8)=4(2g-15) equation:


Simplifying
2g + 4(g + -8) = 4(2g + -15)

Reorder the terms:
2g + 4(-8 + g) = 4(2g + -15)
2g + (-8 * 4 + g * 4) = 4(2g + -15)
2g + (-32 + 4g) = 4(2g + -15)

Reorder the terms:
-32 + 2g + 4g = 4(2g + -15)

Combine like terms: 2g + 4g = 6g
-32 + 6g = 4(2g + -15)

Reorder the terms:
-32 + 6g = 4(-15 + 2g)
-32 + 6g = (-15 * 4 + 2g * 4)
-32 + 6g = (-60 + 8g)

Solving
-32 + 6g = -60 + 8g

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-8g' to each side of the equation.
-32 + 6g + -8g = -60 + 8g + -8g

Combine like terms: 6g + -8g = -2g
-32 + -2g = -60 + 8g + -8g

Combine like terms: 8g + -8g = 0
-32 + -2g = -60 + 0
-32 + -2g = -60

Add '32' to each side of the equation.
-32 + 32 + -2g = -60 + 32

Combine like terms: -32 + 32 = 0
0 + -2g = -60 + 32
-2g = -60 + 32

Combine like terms: -60 + 32 = -28
-2g = -28

Divide each side by '-2'.
g = 14

Simplifying
g = 14

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